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A government sample survey plans to measure the total cholesterol level of an SRS of men aged 20–34.  Suppose that, in fact, the total cholesterol level of all men aged 20–34 follows the Normal distribution with mean μ=182 milligrams per deciliter (mg/dL) and standard deviation σ=37 mg/dL. Use Table A to answer the questions, where necessary.   (a) Choose an SRS of 100 men from this population. What is the sampling distribution of x¯ ? (Use the units of mg/dL.) A) the N(182,0.37) distribution B) the N(182,3.7) distribution C) the N(182,37) distribution D) the N(1.82,0.37) distribution     What is the probability that x¯ takes a value between 180 and 184 mg/dL? This is the probability that x¯ estimates μ within ±2 mg/dL.   A) 0.5400 B) 0.2946 C) 0.7054 D) 0.4108     (b) Choose an SRS of 1000 men from this population. Now what is the probability that x¯ falls within ±2 mg/dL of μ ? (Enter your answer rounded to three decimal places.)   probability=   The larger sample is much more likely to give an accurate estimate of μ.

A government sample survey plans to measure the total cholesterol level of an SRS of men aged 20–34.  Suppose that, in fact, the total cholesterol level of all men aged 20–34 follows the Normal distribution with mean μ=182 milligrams per deciliter (mg/dL) and standard deviation σ=37 mg/dL. Use Table A to answer the questions, where necessary.   (a) Choose an SRS of 100 men from this population. What is the sampling distribution of x¯ ? (Use the units of mg/dL.) A) the N(182,0.37) distribution B) the N(182,3.7) distribution C) the N(182,37) distribution D) the N(1.82,0.37) distribution     What is the probability that x¯ takes a value between 180 and 184 mg/dL? This is the probability that x¯ estimates μ within ±2 mg/dL.   A) 0.5400 B) 0.2946 C) 0.7054 D) 0.4108     (b) Choose an SRS of 1000 men from this population. Now what is the probability that x¯ falls within ±2 mg/dL of μ ? (Enter your answer rounded to three decimal places.)   probability=   The larger sample is much more likely to give an accurate estimate of μ.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A government sample survey plans to measure the total cholesterol level of an SRS of men aged 20–34. 

Suppose that, in fact, the total cholesterol level of all men aged 20–34 follows the Normal distribution with mean μ=182 milligrams per deciliter (mg/dL) and standard deviation σ=37 mg/dL.

Use Table A to answer the questions, where necessary.

 

(a) Choose an SRS of 100 men from this population. What is the sampling distribution of x¯ ? (Use the units of mg/dL.)

A) the N(182,0.37) distribution
B) the N(182,3.7) distribution
C) the N(182,37) distribution
D) the N(1.82,0.37) distribution
 
 
What is the probability that x¯ takes a value between 180 and 184 mg/dL? This is the probability that x¯ estimates μ within ±2 mg/dL.
 
A) 0.5400
B) 0.2946
C) 0.7054
D) 0.4108
 
 
(b) Choose an SRS of 1000 men from this population. Now what is the probability that x¯ falls within ±2 mg/dL of μ ? (Enter your answer rounded to three decimal places.)
 
probability=
 
The larger sample is much more likely to give an accurate estimate of μ.
 
 
 
 
 
 
696 TABLES Table entry for z is the area under the Table entry standard Normal curve to the left of z. TABLE A Standard normal cumulative proportions .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.4 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0002 .0003 .0005 .0007 .0005 .0004 .0006 -3.3 .0005 .0005 .0004 .0004 .0004 .0004 .0004 -3.2 .0007 .0007 .0006 .0006 .0006 .0006 .0005 .0005 -3.1 .0010 .0009 .0009 .0009 .0008 .0008 .0008 .0008 .0007 -3.0 .0013 .0013 .0013 .0012 .0012 .0011 .0011 .0011 .0010 .0010 -2.9 .0019 .0018 .0018 .0017 .0016 .0016 .0015 .0015 .0014 .0014 .0023 .0032 -2.8 .0026 .0025 .0024 .0023 .0022 .0021 .0021 .0020 .0019 -2.7 .0035 .0034 .0033 .0031 .0030 .0029 .0028 .0027 .0026 -2.6 .0047 .0045 .0044 .0043 .0041 .0040 .0054 .0039 .0038 .0037 .0036 -2.5 .0062 .0060 .0059 .0057 .0055 .0052 .0051 .0049 .0048 -2.4 .0064 .0084 .0082 .0080 .0078 .0075 .0073 .0071 .0069 .0068 .0066 -2.3 .0107 .0104 .0102 .0099 .0096 .0094 .0091 .0089 .0087 -2.2 .0139 .0136 .0132 .0129 .0125 .0122 .0119 .0116 .0113 .0110 .0174 .0222 .0170 .0217 -2.1 .0179 .0166 .0162 .0158 .0154 .0150 .0146 .0143 -2.0 .0228 .0212 .0207 .0202 .0197 .0192 .0188 .0183 .0274 .0287 .0359 .0281 .0268 .0262 .0256 .0250 .0233 .0244 .0307 .0384 -1.9 .0239 .0314 - 1.8 - 1.7 .0336 .0418 .0516 .0329 .0409 .0351 .0344 .0322 .0301 .0294 .0446 .0436 .0427 .0401 .0392 .0375 .0367 .0485 .0505 .0618 .0455 .0548 .0668 -1.6 .0537 .0526 .0495 .0475 .0465 -1.5 .0655 .0643 .0630 .0606 .0594 .0582 .0571 .0559 -1.4 -1.3 .0694 .0838 .0808 .0793 .0778 .0764 .0749 .0735 .0721 .0708 .0681 .0968 .0951 .0934 .0918 .0901 .0885 .0869 .0853 .0823 - 1.2 - 1.1 .1038 .1230 .1151 .1131 .1112 .1093 .1075 .1056 .1020 .1003 .0985 .1357 .1335 .1314 .1292 .1271 .1251 .1210 .1190 .1170 -1.0 .1587 .1562 .1539 .1515 .1492 .1469 .1446 .1423 .1401 .1379 .1814 .2090 -0.9 .1841 .1788 .1762 .1736 .1711 .1685 .1660 .1635 .1611 -0.8 .2119 .2061 .2033 .2005 .1977 .1949 .1922 .1894 .1867 -0.7 .2420 .2389 .2358 .2327 .2296 .2266 .2236 .2206 .2177 .2148 -0.6 .2743 .2709 .2676 .2643 .2611 .2578 .2546 .2514 .2483 .2451 -0.5 3085 3050 .3015 .2981 .2946 .2912 .2877 .2843 .2810 .2776 .3409 .3783 .4168 -0.4 .3446 .3372 .3336 3300 .3264 .3228 .3192 .3156 .3121 -0.3 .3821 .3745 3707 .3669 .3632 .3594 .3557 3520 .3483 .4090 .4483 .4880 -0.2 .4207 .4129 .4052 .4013 .3974 .3936 .3897 .3859 .4404 .4801 .4247 .4641 -0.1 .4602 .4562 .4522 .4443 .4364 .4325 .4286 -0.0 .5000 .4960 .4920 .4840 .4761 .4721 .4681
Transcribed Image Text:696 TABLES Table entry for z is the area under the Table entry standard Normal curve to the left of z. TABLE A Standard normal cumulative proportions .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.4 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0002 .0003 .0005 .0007 .0005 .0004 .0006 -3.3 .0005 .0005 .0004 .0004 .0004 .0004 .0004 -3.2 .0007 .0007 .0006 .0006 .0006 .0006 .0005 .0005 -3.1 .0010 .0009 .0009 .0009 .0008 .0008 .0008 .0008 .0007 -3.0 .0013 .0013 .0013 .0012 .0012 .0011 .0011 .0011 .0010 .0010 -2.9 .0019 .0018 .0018 .0017 .0016 .0016 .0015 .0015 .0014 .0014 .0023 .0032 -2.8 .0026 .0025 .0024 .0023 .0022 .0021 .0021 .0020 .0019 -2.7 .0035 .0034 .0033 .0031 .0030 .0029 .0028 .0027 .0026 -2.6 .0047 .0045 .0044 .0043 .0041 .0040 .0054 .0039 .0038 .0037 .0036 -2.5 .0062 .0060 .0059 .0057 .0055 .0052 .0051 .0049 .0048 -2.4 .0064 .0084 .0082 .0080 .0078 .0075 .0073 .0071 .0069 .0068 .0066 -2.3 .0107 .0104 .0102 .0099 .0096 .0094 .0091 .0089 .0087 -2.2 .0139 .0136 .0132 .0129 .0125 .0122 .0119 .0116 .0113 .0110 .0174 .0222 .0170 .0217 -2.1 .0179 .0166 .0162 .0158 .0154 .0150 .0146 .0143 -2.0 .0228 .0212 .0207 .0202 .0197 .0192 .0188 .0183 .0274 .0287 .0359 .0281 .0268 .0262 .0256 .0250 .0233 .0244 .0307 .0384 -1.9 .0239 .0314 - 1.8 - 1.7 .0336 .0418 .0516 .0329 .0409 .0351 .0344 .0322 .0301 .0294 .0446 .0436 .0427 .0401 .0392 .0375 .0367 .0485 .0505 .0618 .0455 .0548 .0668 -1.6 .0537 .0526 .0495 .0475 .0465 -1.5 .0655 .0643 .0630 .0606 .0594 .0582 .0571 .0559 -1.4 -1.3 .0694 .0838 .0808 .0793 .0778 .0764 .0749 .0735 .0721 .0708 .0681 .0968 .0951 .0934 .0918 .0901 .0885 .0869 .0853 .0823 - 1.2 - 1.1 .1038 .1230 .1151 .1131 .1112 .1093 .1075 .1056 .1020 .1003 .0985 .1357 .1335 .1314 .1292 .1271 .1251 .1210 .1190 .1170 -1.0 .1587 .1562 .1539 .1515 .1492 .1469 .1446 .1423 .1401 .1379 .1814 .2090 -0.9 .1841 .1788 .1762 .1736 .1711 .1685 .1660 .1635 .1611 -0.8 .2119 .2061 .2033 .2005 .1977 .1949 .1922 .1894 .1867 -0.7 .2420 .2389 .2358 .2327 .2296 .2266 .2236 .2206 .2177 .2148 -0.6 .2743 .2709 .2676 .2643 .2611 .2578 .2546 .2514 .2483 .2451 -0.5 3085 3050 .3015 .2981 .2946 .2912 .2877 .2843 .2810 .2776 .3409 .3783 .4168 -0.4 .3446 .3372 .3336 3300 .3264 .3228 .3192 .3156 .3121 -0.3 .3821 .3745 3707 .3669 .3632 .3594 .3557 3520 .3483 .4090 .4483 .4880 -0.2 .4207 .4129 .4052 .4013 .3974 .3936 .3897 .3859 .4404 .4801 .4247 .4641 -0.1 .4602 .4562 .4522 .4443 .4364 .4325 .4286 -0.0 .5000 .4960 .4920 .4840 .4761 .4721 .4681
TABLES 697 Table entry Table entry for z is the area under the standard Normal curve to the left of z. TABLE A Standard Normal cumulative proportions (continued) .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 0.0 .5000 .5040 .5080 .5120 .5160 .5199 .5239 .5279 .5319 .5359 .5557 .5948 .6331 .5636 .6026 0.1 .5398 .5438 .5478 .5517 .5596 .5675 .5714 .5753 0.2 .5793 .5832 .5871 .5910 .5987 .6064 .6103 .6141 0.3 0.4 .6406 .6772 .6480 .6844 .6179 .6217 .6255 .6293 .6368 .6443 .6517 .6554 .6591 .6628 .6664 .6700 .6736 .6808 .6879 .6950 .7054 .7389 .7088 .7422 .7123 .7454 .7764 0.5 .6915 .6985 .7019 .7157 .7190 .7224 0.6 .7257 .7580 .7517 .7823 .8106 .7291 .7324 .7357 .7486 .7794 .8078 .8340 .7549 0.7 .7611 .7642 .7673 .7704 .7734 .7852 .8023 .8289 0.8 .7881 .7910 .7939 .7967 .7995 .8051 .8133 0.9 .8159 .8186 .8212 .8238 .8264 .8315 .8365 .8389 .8485 .8708 .8907 .8508 .8577 .8790 1.0 .8413 .8438 .8461 .8531 .8554 .8599 .8621 .8643 .8849 .8749 .8944 1.1 .8665 .8686 .8729 .8770 .8810 .8830 1.2 .8869 .8888 .8925 .8962 .8980 .8997 .9015 1.3 .9032 .9049 .9066 .9082 .9099 .9115 .9131 .9147 .9162 .9177 1.4 .9192 .9207 .9222 .9236 .9251 .9265 .9279 .9292 .9306 .9319 1.5 .9332 .9345 .9357 .9370 .9382 .9394 .9406 .9418 .9429 .9441 .9463 .9564 1.6 .9452 .9474 .9484 .9495 .9505 .9515 .9525 .9535 .9545 1.7 .9554 .9573 .9582 .9591 .9599 .9608 .9616 .9625 .9633 .9678 .9744 1.8 .9641 .9649 .9656 .9664 .9671 .9686 .9693 .9699 .9706 1.9 .9713 .9719 .9726 .9732 .9738 .9750 .9756 .9761 .9767 2.0 .9772 .9778 .9783 .9788 .9793 .9798 .9803 .9808 .9812 .9817 2.1 .9821 .9826 .9830 .9834 .9838 .9842 .9846 .9850 .9854 .9887 .9913 .9857 2.2 .9861 .9864 .9868 .9871 .9875 .9878 .9881 .9884 .9890 2.3 .9893 .9896 .9898 .9901 .9904 .9906 .9909 .9911 .9916 2.4 .9918 .9920 .9922 .9925 .9927 .9929 .9931 .9932 .9934 .9936 2.5 .9938 .9940 .9941 .9943 .9945 .9946 .9948 .9949 .9951 .9952 2.6 .9953 .9955 .9956 .9957 .9959 .9960 .9961 .9962 .9963 .9964 2.7 .9965 .9966 .9967 .9968 .9969 .9970 .9971 .9972 .9973 .9974 .9977 .9983 2.8 .9974 .9975 .9976 .9977 .9978 .9979 .9979 .9980 .9981 2.9 .9981 .9982 .9982 .9984 .9984 .9985 .9985 9986 .9986 3.0 .9987 .9987 .9987 .9988 9988 .9989 .9989 .9989 .9990 .9990 3.1 .9990 .9991 .9991 .9991 .9992 .9992 .9992 .9992 .9993 .9993 3.2 .9993 .9993 .9994 .9994 .9994 .9994 .9994 .9996 .9995 .9995 .9995 3.3 .9995 .9995 .9995 .9996 .9996 .9996 .9996 .9996 .9997 3.4 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9998
Transcribed Image Text:TABLES 697 Table entry Table entry for z is the area under the standard Normal curve to the left of z. TABLE A Standard Normal cumulative proportions (continued) .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 0.0 .5000 .5040 .5080 .5120 .5160 .5199 .5239 .5279 .5319 .5359 .5557 .5948 .6331 .5636 .6026 0.1 .5398 .5438 .5478 .5517 .5596 .5675 .5714 .5753 0.2 .5793 .5832 .5871 .5910 .5987 .6064 .6103 .6141 0.3 0.4 .6406 .6772 .6480 .6844 .6179 .6217 .6255 .6293 .6368 .6443 .6517 .6554 .6591 .6628 .6664 .6700 .6736 .6808 .6879 .6950 .7054 .7389 .7088 .7422 .7123 .7454 .7764 0.5 .6915 .6985 .7019 .7157 .7190 .7224 0.6 .7257 .7580 .7517 .7823 .8106 .7291 .7324 .7357 .7486 .7794 .8078 .8340 .7549 0.7 .7611 .7642 .7673 .7704 .7734 .7852 .8023 .8289 0.8 .7881 .7910 .7939 .7967 .7995 .8051 .8133 0.9 .8159 .8186 .8212 .8238 .8264 .8315 .8365 .8389 .8485 .8708 .8907 .8508 .8577 .8790 1.0 .8413 .8438 .8461 .8531 .8554 .8599 .8621 .8643 .8849 .8749 .8944 1.1 .8665 .8686 .8729 .8770 .8810 .8830 1.2 .8869 .8888 .8925 .8962 .8980 .8997 .9015 1.3 .9032 .9049 .9066 .9082 .9099 .9115 .9131 .9147 .9162 .9177 1.4 .9192 .9207 .9222 .9236 .9251 .9265 .9279 .9292 .9306 .9319 1.5 .9332 .9345 .9357 .9370 .9382 .9394 .9406 .9418 .9429 .9441 .9463 .9564 1.6 .9452 .9474 .9484 .9495 .9505 .9515 .9525 .9535 .9545 1.7 .9554 .9573 .9582 .9591 .9599 .9608 .9616 .9625 .9633 .9678 .9744 1.8 .9641 .9649 .9656 .9664 .9671 .9686 .9693 .9699 .9706 1.9 .9713 .9719 .9726 .9732 .9738 .9750 .9756 .9761 .9767 2.0 .9772 .9778 .9783 .9788 .9793 .9798 .9803 .9808 .9812 .9817 2.1 .9821 .9826 .9830 .9834 .9838 .9842 .9846 .9850 .9854 .9887 .9913 .9857 2.2 .9861 .9864 .9868 .9871 .9875 .9878 .9881 .9884 .9890 2.3 .9893 .9896 .9898 .9901 .9904 .9906 .9909 .9911 .9916 2.4 .9918 .9920 .9922 .9925 .9927 .9929 .9931 .9932 .9934 .9936 2.5 .9938 .9940 .9941 .9943 .9945 .9946 .9948 .9949 .9951 .9952 2.6 .9953 .9955 .9956 .9957 .9959 .9960 .9961 .9962 .9963 .9964 2.7 .9965 .9966 .9967 .9968 .9969 .9970 .9971 .9972 .9973 .9974 .9977 .9983 2.8 .9974 .9975 .9976 .9977 .9978 .9979 .9979 .9980 .9981 2.9 .9981 .9982 .9982 .9984 .9984 .9985 .9985 9986 .9986 3.0 .9987 .9987 .9987 .9988 9988 .9989 .9989 .9989 .9990 .9990 3.1 .9990 .9991 .9991 .9991 .9992 .9992 .9992 .9992 .9993 .9993 3.2 .9993 .9993 .9994 .9994 .9994 .9994 .9994 .9996 .9995 .9995 .9995 3.3 .9995 .9995 .9995 .9996 .9996 .9996 .9996 .9996 .9997 3.4 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9998
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